Answer:
a = 82
b = 130
c = 118
Step-by-step explanation:
A quadrilateral is inscribed in a circle. So, it is a cyclic quadrilateral.
Opposite angles of a cyclic quadrilateral are supplementary.
Therefore,
a° + 98° = 180°
a° = 180° - 98°
a° = 82°
a = 82
By inscribed angle theorem:
a° = 1/2(b° + 34°)
82° * 2 = b° + 34°
164° - 34° = b°
b° = 130°
b = 130
Again by inscribed angle theorem:
76° = 1/2(c° + 34°)
76° *2 = c° + 34°
152° - 34° = c°
c° = 118°
c = 118
Answer:
see attached
Step-by-step explanation:
The steps to solving an equation are those that undo the operations done to the variable. Here, the variable is multiplied by 2/3 and 15 is added to the product.
We undo the addition of 15 by subtracting 15 (from both sides of the equation).
We undo the multiplication by 2/3 by multiplying both sides of the equation by its inverse, 3/2.
It is useful to do simplification after each of these steps.
Attention needs to be paid to the signs. When 15 is subtracted from 9, a negative result is obtained. When that is multiplied by a positive number (3/2), a negative result remains.
Answer:
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Step-by-step explanation:
Answer:

Step-by-step explanation:
We are given rectangle ABCD
Firstly, we will draw a rectangle
we can see that
AC and BD are diagonals of rectangle
and we know that
Diagonals of any rectangle are always equal
so,

we are given
AC=10
we can plug it
and we get

so,
